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Finding the Fourth Proportional to 421,669.02, 632,313.34 and 208,353.70

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Solution

The fourth proportional to 421,669.02, 632,313.34 and 208,353.70 is: 312,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,669.02 : 632,313.34 = 208,353.70 : x
  2. Step 2: Convert to fraction form
    421,669.02/632,313.34 = 208,353.70/x
  3. Step 3: Cross multiply
    421,669.02x = 632,313.34 × 208,353.70
  4. Step 4: Simplify right side
    421,669.02x = 131,744,824,217.87
  5. Step 5: Solve for x
    x = 131,744,824,217.87/421,669.02
  6. Step 6: Final answer
    x = 312,436.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.